integer+factorization

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• Integer factorization — In number theory, integer factorization is the way of breaking down a composite number into smaller non trivial divisors, which when multiplied together equal the original integer.When the numbers are very large, no efficient integer… …   Wikipedia

• integer factorization — noun prime factorization …   Wiktionary

• Integer factorization records — Numbers of a general form = The first very large distributed factorisation was RSA129, a challenge number described in the Scientific American article of 1977 which first popularised the RSA cryptosystem. It was factorised between September 1993… …   Wikipedia

• Factorization — This article is about the mathematical concept. For other uses, see Factor and Integer factorization. A visual illustration of the polynomial x2 + cx + d = (x + a)(x + b) where… …   Wikipedia

• factorization — (Amer.) n. (Mathematics) resolution of an integer or polynomial into factors so that when multiplied together they give the integer or polynomial (also factorisation) …   English contemporary dictionary

• Dixon's factorization method — In number theory, Dixon s factorization method (also Dixon s random squares method[1] or Dixon s algorithm) is a general purpose integer factorization algorithm; it is the prototypical factor base method, and the only factor base method for which …   Wikipedia

• Continued fraction factorization — In number theory, the continued fraction factorization method (CFRAC) is an integer factorization algorithm. It is a general purpose algorithm, meaning that it is suitable for factoring any integer n, not depending on special form or properties.… …   Wikipedia

• Lenstra elliptic curve factorization — The Lenstra elliptic curve factorization or the elliptic curve factorization method (ECM) is a fast, sub exponential running time algorithm for integer factorization which employs elliptic curves. Technically, the ECM is classified as a… …   Wikipedia

• Shanks' square forms factorization — is a method for integer factorization, which was devised by Daniel Shanks as an improvement on Fermat s factorization method.The success of Fermat s method depends on finding integers x , and y such that x 2 − y 2 = N , where N is the integer to… …   Wikipedia

• prime factorization — noun The factorization of a positive integer into its constituent prime numbers Syn: integer factorization, prime decomposition …   Wiktionary

• Polynomial factorization — In mathematics and computer algebra, polynomial factorization typically refers to factoring a polynomial into irreducible polynomials over a given field. Formulation of the questionOther factorizations, such as square free factorization exist,… …   Wikipedia